4coffees and 12 lattes. costs $61
12 coffees and 7 lattes. costs $59.75
how much does a coffe and a latte cost

Cost of a coffee is $2.5 and cost of a latte is $4.25.

Step-by-step explanation:

Let cost of 1 coffee be 'c' and cost of 1 latte be 'l' dollars.

Given:

4 coffees and 12 lattes cost $61.

12 coffees and 7 lattes cost $59.75.

∵ 1 coffee cost =

∴ 4 coffees cost = and 12 coffee cost =

∵ 1 latte cost =

∴ 12 lattes cost = and 7 lattes cost =

Now, as per question:

Now, multiplying equation (1) by -3 and adding the result to equation (2). This gives,

Now, plug in the value of 'l' in equation 1 to solve for 'c'. This gives,

Therefore, cost of a coffee is $2.5 and cost of a latte is $4.25.

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step-by-step explanation: